20052643921920 has 720 divisors, whose sum is σ = 73561374999840. Its totient is φ = 5039003271168.

The previous prime is 20052643921913. The next prime is 20052643921927. The reversal of 20052643921920 is 2912934625002.

20052643921920 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 26 + 439 + 2 + 192 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20052643921913) and next prime (20052643921927).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×20052643921920³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20052643921927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2703602052 + ... + 2703609468.

Almost surely, 2^{20052643921920} is an apocalyptic number.

20052643921920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20052643921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36780687499920).

20052643921920 is an abundant number, since it is smaller than the sum of its proper divisors (53508731077920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20052643921920 is a wasteful number, since it uses less digits than its factorization.

20052643921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7668 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20052643921920 in words is "twenty trillion, fifty-two billion, six hundred forty-three million, nine hundred twenty-one thousand, nine hundred twenty".